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Finding the Fourth Proportional to 1,057.34, 1,458.81 and 614.93

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Solution

The fourth proportional to 1,057.34, 1,458.81 and 614.93 is: 848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.34 : 1,458.81 = 614.93 : x
  2. Step 2: Convert to fraction form
    1,057.34/1,458.81 = 614.93/x
  3. Step 3: Cross multiply
    1,057.34x = 1,458.81 × 614.93
  4. Step 4: Simplify right side
    1,057.34x = 897,069.68
  5. Step 5: Solve for x
    x = 897,069.68/1,057.34
  6. Step 6: Final answer
    x = 848.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.